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The chapter contains a detailed presentation of the surface integral theory for modelling light diffraction by surface-relief diffraction gratings having a one-dimensional periodicity. Several different approaches are presented, leading…

Optics · Physics 2014-06-03 Daniel Maystre , Evgeny Popov

The dynamical scattering theory is developed for the Laue diffraction of the M\"{o}ssbauer rays and x-rays, whose angular distribution is comparable with the diffraction angular range. Both the Rayleigh and the resonant nuclear scattering…

Optics · Physics 2019-05-29 Alexey Dzyublik , Volodymyr Spivak

Over past decades, high energy X-ray diffraction techniques at synchrotron beamline offer us the unique possibility to follow concomitantly some mechanisms on the grain level in metallic materials. Crystal rotation, as one important factor…

Materials Science · Physics 2024-05-07 Zhida Liang , Emad Maawad , Florian Pyczak

When subjected to monochromatic incident light a nanoparticle will emit light which then interferes with the incident beam. With sufficient contrast and sufficiently close to the particle this interference pattern may be recorded with a…

Optics · Physics 2019-02-26 T. G. Myers , H. Ribera , W. S. Bacsa

The spatiotemporal response of crystals in x-ray Bragg diffraction resulting from excitation by an ultra-short, laterally confined x-ray pulse is studied theoretically. The theory presents an extension of the analysis in symmetric…

Optics · Physics 2012-10-22 Yuri Shvyd'ko , Ryan Lindberg

We demonstrate a strategy for simulating wide-range X-ray scattering patterns, which spans the small- and wide scattering angles as well as the scattering angles typically used for Pair Distribution Function (PDF) analysis. Such simulated…

The classical method of determining the atomic structure of complex molecules by analyzing diffraction patterns is currently undergoing drastic developments. Modern techniques for producing extremely bright and coherent X-ray lasers allow a…

Biomolecules · Quantitative Biology 2015-10-12 Tomas Ekeberg , Stefan Engblom , Jing Liu

We employ density functional theory to study in detail the crystallization of super-paramagnetic particles in two dimensions under the influence of an external magnetic field that lies perpendicular to the confining plane. The field induces…

Soft Condensed Matter · Physics 2009-11-13 Sven van Teeffelen , Hartmut Löwen , Christos N. Likos

In this study, we report initial demonstrations of the use of single crystals in indirect x-ray imaging with a benchtop implementation of propagation-based (PB) x-ray phase contrast imaging. Based on single Gaussian peak fits to the x-ray…

Instrumentation and Detectors · Physics 2018-08-15 A. H. Lumpkin , A. B. Garson , M. A. Anastasio

The aim of this research is to reconstruct the 3D X-ray refractive index gradient maps by the proposed vector Radon transform and its inverse, assuming that the small-angle deviation condition is met. Theoretical analyses show that the…

Medical Physics · Physics 2023-09-20 Keliang Liao , Qili He , Panyun Li , Liang Luo , Peiping Zhu

Resonant elastic soft x-ray magnetic scattering (XRMS) is a powerful tool to explore long-periodic spin textures in single crystals. However, due to the limited momentum transfer range imposed by long wavelengths of photons in the soft…

Materials Science · Physics 2022-10-03 V. Ukleev , C. Luo , R. Abrudan , A. Aqeel , C. H. Back , F. Radu

The pair-angle distribution function (PADF) is a three- and four-atom correlation function that can characterise the local angular structure of disordered materials, particles or nanocrystalline materials. The PADF can be measured by x-ray…

Disordered Systems and Neural Networks · Physics 2023-09-04 Andrew V. Martin , Patrick Adams , Jack Binns

We propose to utilize density distributions from a series of time-of-flight images of an expanding cloud to reconstruct single-particle correlation functions of trapped ultra-cold atoms. In particular, we show how this technique can be used…

Quantum Gases · Physics 2011-12-05 Wei Zhang , L. -M. Duan

Three-dimensional phase contrast imaging of multiply-scattering samples in X-ray and electron microscopy is extremely challenging, due to small numerical apertures, the unavailability of wavefront shaping optics, and the highly nonlinear…

Computational Physics · Physics 2021-06-02 Philipp M Pelz , Hamish G Brown , Jim Ciston , Scott D Findlay , Yaqian Zhang , Mary Scott , Colin Ophus

We introduce a phase-field crystal model that creates an array of complex three- and two-dimensional crystal structures via a numerically tractable three-point correlation function. The three-point correlation function is designed in order…

Materials Science · Physics 2017-11-15 Eli Alster , David Montiel , Katsuyo Thornton , Peter W. Voorhees

Holographic particle characterization uses quantitative analysis of holographic microscopy data to precisely and rapidly measure the diameter and refractive index of individual colloidal spheres in their native media. When this technique is…

Soft Condensed Matter · Physics 2022-10-19 Rafe Abdulali , Lauren E. Altman , David G. Grier

The random intensity distribution observed due to the propagation of a coherent beam of light through a scattering medium is known as a speckle pattern. The interaction of the speckles with a birefringent crystal, here, YVO4 results in the…

Optics · Physics 2021-08-11 Kapil K. Gangwar , Abhijit Roy , Maruthi M. Brundavanam

Imaging of the Bragg reflected x-ray beam is proposed and validated as an in-situ method for characterization of performance of double-crystal monochromators under the heat load of intense synchrotron radiation. A sequence of images is…

Optics · Physics 2016-01-19 Stanislav Stoupin , Zunping Liu , Steve M. Heald , Dale Brewe , Mati Meron

Emerging coherent X-ray scattering patterns of single-particles have shown dominant morphological signatures in agreement with predictions of the scattering model used for conventional protein crystallography. The key question is if and to…

Biomolecules · Quantitative Biology 2014-07-28 Aliakbar Jafarpour